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qaws [65]
4 years ago
14

A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?

Mathematics
1 answer:
gtnhenbr [62]4 years ago
3 0

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation.  We set this up as a right triangle to use right triangle trig to solve for the missing angle.  The height is 30 and the hypotenuse is 400.  The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio.  Setting up the ratio using our info:

sin\theta=\frac{30}{400}

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

sin^{-1}(

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

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Does anyone know how to do this?
sineoko [7]

Answer:

\boxed{\tt x=\sqrt{85} }

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

\boxed{{\tt a^2+b^2=c^2}}

→ \tt a=9

→ \tt b=2

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<u>Let's Plug in the side lengths:</u>

  • \tt 9^2+2^2=x^2

<u>Evaluate 9²= </u><u>81</u><u> and 2²= </u><u>4</u><u>:</u>

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<u>Now, add 81+4= 85</u>

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<u>Take the square root of both sides:</u>

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_____________________________

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3 years ago
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